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Finding the Fourth Proportional to 10,602.06, 15,901.29 and 2,810.22

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Solution

The fourth proportional to 10,602.06, 15,901.29 and 2,810.22 is: 4,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.06 : 15,901.29 = 2,810.22 : x
  2. Step 2: Convert to fraction form
    10,602.06/15,901.29 = 2,810.22/x
  3. Step 3: Cross multiply
    10,602.06x = 15,901.29 × 2,810.22
  4. Step 4: Simplify right side
    10,602.06x = 44,686,123.18
  5. Step 5: Solve for x
    x = 44,686,123.18/10,602.06
  6. Step 6: Final answer
    x = 4,214.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.